A 50 g sits on top of a 2 kg piston as shown. The bottom end of the spring is oscillated according to & = 6, sinQt. At time t=0 the position and velocity of the piston are both zero (xo = 0m and vo = 0 m/s). If k = 205 N/ m, 8 = 20 mm, and N =8rad/s. a.. Calculate and plot the force F that must be exerted on the lower end of the spring to produce the motion as function of time t ( 0st<10s). b. Calculate and plot the force F exerted on the coin by the piston as function of t (00 always.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A 50 g sits on top of a 2 kg piston as shown. The bottom end of the spring is
oscillated according to & = d, sin 2t. At time t = 0 the position and velocity of
0m and vo 0 m/s). If
k = 205 N/m, 8, = 20 mm, and2=8 rad/s.
the piston are both zero (xo
a.. Calculate and plot the force F, that must be exerted on the lower end of the
spring to produce the motion as function of time t (0<t<10s).
b. Calculate and plot the force F, exerted on the coin by the piston as function of t
(0<t<10s).
c. Determine the maximum value of on for which the coin stays in contact with
the piston; that is, for which F > 0 always.
05 kg
2 kg
8n sin 2r
Group B:
Leonard, Benjamin
Leonard, Nicholas
Pozos, Leslle
Dunham, Jacob
Dominguez, Jessica
Stanikzai, Torialai
Solve the differential equation: my"+ky = ko, sin Qt
Find Natural Frequency. Also, solve the differential equation y =
Transcribed Image Text:A 50 g sits on top of a 2 kg piston as shown. The bottom end of the spring is oscillated according to & = d, sin 2t. At time t = 0 the position and velocity of 0m and vo 0 m/s). If k = 205 N/m, 8, = 20 mm, and2=8 rad/s. the piston are both zero (xo a.. Calculate and plot the force F, that must be exerted on the lower end of the spring to produce the motion as function of time t (0<t<10s). b. Calculate and plot the force F, exerted on the coin by the piston as function of t (0<t<10s). c. Determine the maximum value of on for which the coin stays in contact with the piston; that is, for which F > 0 always. 05 kg 2 kg 8n sin 2r Group B: Leonard, Benjamin Leonard, Nicholas Pozos, Leslle Dunham, Jacob Dominguez, Jessica Stanikzai, Torialai Solve the differential equation: my"+ky = ko, sin Qt Find Natural Frequency. Also, solve the differential equation y =
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